And what's a good story in a GAME? The one that its inherent to its gameplay and depends on your decitions, where you're more than a mere observer or "reader" like if it was and e-book.

This. A GOOD story in a game is one where it creates something that you legitimately desire as a player - whether it's a goal to solve a hard puzzle or defeat a cunning enemy... if it's relevant to the game's story, it allows you to form a connection to the hero (aka, your character). This kind of immersion is hard to find in games now, but if you stop to read the dialogue once in a while, you can open up a whole world of story that adds another dimension to an otherwise (mostly) silent game.